22832505256320 has 768 divisors, whose sum is σ = 83937015676800. Its totient is φ = 5707212521472.

The previous prime is 22832505256271. The next prime is 22832505256331. The reversal of 22832505256320 is 2365250523822.

22832505256320 is a `hidden beast` number, since 2 + 2 + 8 + 3 + 2 + 5 + 0 + 5 + 2 + 5 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1332342792 + ... + 1332359928.

Almost surely, 2^{22832505256320} is an apocalyptic number.

22832505256320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22832505256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41968507838400).

22832505256320 is an abundant number, since it is smaller than the sum of its proper divisors (61104510420480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22832505256320 is a wasteful number, since it uses less digits than its factorization.

22832505256320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17387 (or 17372 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 22832505256320 in words is "twenty-two trillion, eight hundred thirty-two billion, five hundred five million, two hundred fifty-six thousand, three hundred twenty".